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Find the Principal Value Of Cos^(-1) (Sqrt3/2) - CBSE (Commerce) Class 12 - Mathematics

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Question

Find the principal value of  `cos^(-1) (sqrt3/2)`

Solution

Let `cos^(-1) (sqrt3/2) = y, " Then " cos y = sqrt3/2 = cos (pi/6)`

We know that the range of the principal value branch of cos−1 is

`[0, pi] and cos (pi/6) = sqrt3/2`

Therefore the priciple value of `cos^(-1) (sqrt3/2) is pi/6`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 2: Inverse Trigonometric Functions
Q: 2 | Page no. 41
Solution Find the Principal Value Of Cos^(-1) (Sqrt3/2) Concept: Basic Concepts of Trigonometric Functions.
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